Question : Directions: Which two numbers, from amongst the given options, should be interchanged to make the given equation correct? 14 + 39 – (√(144) ÷ 4) + (5 × 3) – 6 = 63
Option 1: 14 and 6
Option 2: 5 and 39
Option 3: 4 and 3
Option 4: 4 and 6
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Correct Answer: 4 and 3
Solution : Given: 14 + 39 – (√(144) ÷ 4) + (5 × 3) – 6 = 63
Let's check the options – First option: 14 and 6 On interchanging the given numbers, the equation becomes – ⇒ 6 + 39 – (√(144) ÷ 4) + (5 × 3) – 14 = 63 Solving the L.H.S. of the equation – = 6 + 39 – (12 ÷ 4) + 15 – 14 = 6 + 39 – 3 + 15 – 14 = 60 – 3 – 14 = 43 ≠ 63 Second option: 5 and 39 On interchanging the given numbers, the equation becomes – ⇒ 14 + 5 – (√(144) ÷ 4) + (39 × 3) – 6 = 63 Solving the L.H.S. of the equation – = 14 + 5 – (12 ÷ 4) + 117 – 6 = 14 + 5 – 3 + 117 – 6 = 136 – 3 – 6 = 127 ≠ 63 Third option: 4 and 3 On interchanging the given numbers, the equation becomes – ⇒ 14 + 39 – (√(144) ÷ 3) + (5 × 4) – 6 = 63 Solving the L.H.S. of the equation – = 14 + 39 – (12 ÷ 3) + 20 – 6 = 14 + 39 – 4 + 20 – 6 = 73 – 4 – 6 = 63 Fourth option: 4 and 6 On interchanging the given numbers, the equation becomes – ⇒ 14 + 39 – (√(144) ÷ 6) + (5 × 3) – 4 = 63 Solving the L.H.S. of the equation – = 14 + 39 – (12 ÷ 6) + 15 – 4 = 14 + 39 – 2 + 15 – 4 = 68 – 2 – 4 = 62 ≠ 63
So, only the equation in the third option satisfies the R.H.S. of the given equation. Hence the third option is correct.
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Question : Directions: Which two numbers from amongst the given options should be interchanged to make the given equation correct? 168 ÷ 4 + 216 ÷ ( 78 × 1 – 8) = 14
Option 1: 78 and 216
Option 2: 14 and 8
Option 3: 78 and 14
Option 4: 216 and 168
Question : Directions: Which two numbers, from amongst the given options, should be interchanged to make the given equation correct? 62 – 20 + (28 ÷ 7) – [(√4) × 8 ] + 22 = 40
Option 1: 6 and 8
Option 2: 7 and 2
Option 3: 2 and 8
Option 4: 20 and 8
Question : Directions: Which two signs and two numbers should be interchanged in the following equation to make it correct? 14 × 6 ÷ 12 + 15 – 9 = 203
Option 1: 15 and 6, + and ÷
Option 2: 12 and 15, – and ×
Option 3: 12 and 9, ÷ and –
Option 4: 14 and 6, ÷ and ×
Question : Directions: Which two numbers, from amongst the given options, should be interchanged to make the given equation correct? (6)³ ÷ 12 + [(√81) x 4] – (28 ÷ 2) + 24 = 43
Option 1: 12 and 24
Option 2: 6 and 24
Option 3: 81 and 4
Option 4: 28 and 24
Question : Directions: Which two numbers from amongst the given options should be interchanged to make the given equation correct? 248 ÷ 4 + 184 ÷ (4 × 6 – 2 × 8) = 77
Option 1: 8 and 4
Option 2: 184 and 77
Option 3: 184 and 248
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